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Finding the Third Proportional to 2,378,885 and 5,089,546

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Solution

The third proportional to 2,378,885 and 5,089,546 is: 10,888,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,885 : 5,089,546 = 5,089,546 : x
  2. Step 2: Convert to fraction form
    2,378,885/5,089,546 = 5,089,546/x
  3. Step 3: Cross multiply
    2,378,885x = 5,089,546 × 5,089,546
  4. Step 4: Simplify right side
    2,378,885x = 25,903,478,486,116
  5. Step 5: Solve for x
    x = 25,903,478,486,116/2,378,885
  6. Step 6: Final answer
    x = 10,888,915.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.